The solution of Navier Stokes equation for MHD Casson fluid using DTM-Pade Approximation

H. V. Gangamani, Nivedita

The flow problem of Magnetohydrodynamic three-dimensional Casson fluid past a porous linearly stretching sheet is investigated analytically. The flow governing equations are reduced to a set of nonlinear ordinary differential equations using the similarity transformations and solved using an efficient and suitable mathematical technique, the differential transform method (DTM), in the form of convergent series, by applying  Pade approximation and the results are validated using Runge-Kutta-Fehlberg Numerical Method. DTM-Pade proves to be an efficient method in solving the Non-linear Differential Equations.  By increasing the non-Newtonian  fluid parameter the fluid reduces to the Newtonian Fluid is illustrated using graphs. It is also clear that the Casson fluid parameter, stretching parameter, Hartmann number and porosity parameter increase with increase in the velocity profiles of the fluid.

https://dx.doi.org/10.31873/IJEAS.6.1.16